Talk:Noetherian ring

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Mathematics rating:	Start Class	Mid Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Needs a proper lead, and also references. Geometry guy 21:15, 31 May 2007 (UTC)

The article states that noetherian implies every ideal is finitely generated; shouldn't that be every proper ideal is finitely generated, since for example, Q is noetherian (every field is), and yet Q cannot be finitely generated? Chas zzz brown 20:11 Apr 2, 2003 (UTC)

Never mind. Q is finitely generated - as an ideal. Chas zzz brown 10:22 Apr 3, 2003 (UTC)

The article says: "Rings that are not Noetherian tend to be (in some sense) very large." I dont know what this should mean, since there are many examples of non-noetherian subrings of (not very large) noetherian rings. For example, there are non-noetherian subrings of k[X,Y]. ( k[X,Y] the ring of polynomials in two variables over a field k) 84.154.252.105 14:43, 8 April 2007 (UTC)